Conveners
(DCMMP) W2-7 Condensed matter theory II | Théorie de la matière condensée II (DPMCM)
- Rachel Wortis
Lanczos-based algorithms have been demonstrated to play a pivotal role in quantum computing and classical methods. I review the development of these methods for a variety of physical systems and new implementations. I also review new use cases of these algorithms.
London dispersion is a weak, attractive, intermolecular force that occurs due to interactions between instantaneous dipole moments. While individual dispersion contributions are small, they are the dominating attractive force between non-polar species and determine many properties of interest. Standard methods in density-functional theory do not account for dispersion contributions, so a...
We consider a one-dimensional flowing Bose-Einstein condensate (BEC). We numerically model the mean-field wave function of this system, and compare our results to an analytical solution derived using the hydrodynamic approximation. We find that a sonic event horizon forms in the BEC, where in one region the flow of the condensate exceeds the speed of sound in the BEC, while across a boundary...
The discovery of non-thermal behaviour in a thermalizing quantum many-body system [Nature 551, 579-584 (2017)] led to the introduction of quantum many-body scars (QMBS). They are atypical eigenstates of chaotic systems and generally exhibit sub-volume or area law entanglement as opposed to the volume law present in the bulk of the eigenstates. The term, QMBS, was given using heuristic...
